What is the Greatest Common Factor of 81261 and 81267?

Greatest common factor (GCF) of 81261 and 81267 is 3.

GCF(81261,81267) = 3

We will now calculate the prime factors of 81261 and 81267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81261 and 81267.

How to find the GCF of 81261 and 81267?

We will first find the prime factorization of 81261 and 81267. After we will calculate the factors of 81261 and 81267 and find the biggest common factor number .

Step-1: Prime Factorization of 81261

Prime factors of 81261 are 3, 9029. Prime factorization of 81261 in exponential form is:

81261 = 3² × 9029¹

Step-2: Prime Factorization of 81267

Prime factors of 81267 are 3, 103, 263. Prime factorization of 81267 in exponential form is:

81267 = 3¹ × 103¹ × 263¹

Step-3: Factors of 81261

List of positive integer factors of 81261 that divides 81261 without a remainder.

1, 3, 9, 9029, 27087

Step-4: Factors of 81267

List of positive integer factors of 81267 that divides 81261 without a remainder.

1, 3, 103, 263, 309, 789, 27089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81261 and 81267. The biggest common factor number is the GCF number.
So the greatest common factor 81261 and 81267 is 3.

Also check out the Least Common Multiple of 81261 and 81267